Question
A polygon has 44 diagonals. How many sides does this
polygon have?Solution
The number of diagonals for a polygon having ‘n’ sides is given by n * (n - 3)/2. ⇒ n (n - 3)/2 = 44 ⇒ n² - 3n - 88 = 0 ⇒ (n - 11) (n + 8) = 0 ⇒ n = 11
The smallest fraction, which should be added to the sum of2(1/2), 3(1/3), 4(1/4) and 5(1/5) to make the result a whole number, is
A man invested a sum of money at compound interest. It amounted to Rs. 2420 in 2 years and to Rs. 2662 in 3 years. Find the sum.
Solve : (3.2 × 104) ÷ (2 × 105)
3,000 ___ 15 ___ 4 ___ (20)² ___ 20 = 32,200
In an examination 73%of the candidates passed in quantitative aptitude test, 70% passed in General awareness and 64% passed in both. If 6300 failed in b...
Rani and Kavi undertake to do a work together for Rs. 600. Rani alone can do it in 15 days and Kavi alone in 20 days. But with the assistance of Rita th...
906 ___Â 6 ___Â `sqrt1225` Â ___Â 500 ___Â 850 = 4,935
A trader purchased 132 dozens of mangoes at Rs.475 per dozen and could sell only 125 dozens at Rs.530 per dozen. What is the value of stock of mangoes i...
In a division sum, the divisor 'd' is 10 times the quotient 'q' and 5 times the remainder 'r'. If r = 46, the dividend will be
The sum of three consecutive even numbers is 28 more than the average of these three numbers. Then the smallest of these three numbers is
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